Szerző szerinti böngészés "To, Lan Nhi"

Megjelenítve 1 - 3 (Összesen 3)
  • Nincs kép
    TételSzabadon hozzáférhető
  • Nincs kép
    TételSzabadon hozzáférhető
    Computer-assisted investigations on functional equations and convexity
    (2025) To, Lan Nhi; Gilányi, Attila; Matematika- és számítástudományok doktori iskola
    In the 1980s, a question was raised by János Aczél, whether it is possible to solve functional equations with the help of computer programs. Since then, many researchers have used computers as assistants for their studies of functional equations and related topics. The main goal of this dissertation is to perform some studies on functional equations and their related topic – convexity, with the help of computers. More precisely, we introduce the computer packages developed in the Computer Algebra system Maple that investigate some specific functional equations and convexity problems. They enrich the field of computer algebraic investigations of functional equations and inequalities described.
  • Bélyegkép
    TételKorlátozottan hozzáférhető
    Computer-Assisted Methods in Mathematical Models
    To, Lan Nhi; Gilányi, Attila; DE--Informatikai Kar
    The main goal of the thesis is performing some investigations of functional equations as well as m-convex hull using the computer algebra system Maple. More precisely, it will focus on solving the class of linear functional equations of two variables and visualizing the animation of m-convex hull of the finite set of points P on the Cartesian plane. Both problems are investigated by using the concept of "mathability". Due to the developing of computer algebra system and Maple in particular, these problems can be handled in an effective way and become an important premise for further research in the area of functional equations as well as m-convexity model.